Answer:
1. 58.5 cm^2
2. 282.5 cm^2
3. A = 5/2 bh
Explanation:
The area of 1 triangle is
A = 1/2 b*h
A = 1/2 (13) * 9
A = 117/2
A =58.5 in^2
We have 5 triangles in the pentagon
Area of the pentagon is 5 times the area of the triangle
Apentagon = 5 * A triangle
A = 5 * 117/2
A = 585/2
A =282.5 in^2
To find the area
A = 5* (1/2 b*h)
A = 5/2 bh
where b is the side length of the pentagon and h is the distance from the center of the side to the center of the pentagon